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Discrete universality for Matsumoto zeta-functions and the nontrivial zeros of the Riemann zeta-function

Published 31 Aug 2023 in math.NT | (2308.16396v3)

Abstract: In 2017, Garunk\v{s}tis, Laurin\v{c}ikas and Macaitien.{e} proved the discrete universality theorem for the Riemann zeta-function sifted by the nontrivial zeros of the Riemann zeta-function. This discrete universality has been extended in various zeta-functions and $L$-functions. In this paper, we generalize this discrete universality for Matsumoto zeta-functions.

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